Graphing Linear Relationships and Slope

This video tutorial for grade 8 math covers how to use a table to graph a linear relationship and write an equation. It explains how to find the slope and y-intercept from a graph and write the equation in slope-intercept form. The tutorial uses a real-world example of calculating gasoline usage for a trip to demonstrate these concepts. The video concludes with a preview of the next topic, which involves writing equations directly from a table.

What is the primary purpose of using a table in this lesson?

• To determine the perimeter of a rectangle

• To calculate the volume of a cylinder

• To graph a linear relationship and write an equation

• To find the area of a circle

How can you find the slope from a table?

• By dividing the largest value by the smallest

• By adding all the values

• By finding the difference between two y-values and two x-values

• By multiplying all the values

What does the table in Tala's example represent?

• The number of apples Tala has

• The amount of gasoline in Tala's car as she drives

• The distance Tala runs every day

• The number of books Tala reads

What is the first step in graphing the data from the table?

• Graph the ordered pairs from the table

• Draw a circle

• Calculate the area of the graph

• Find the median of the data

Which two points are used to find the slope in the example?

• (0, 10) and (25, 9)

• (10, 0) and (9, 25)

• (25, 10) and (0, 9)

• (9, 25) and (10, 0)

How is the y-intercept determined from the graph?

• By measuring the distance between two points

• By identifying where the line crosses the y-axis

• By calculating the average of all points

• By finding the highest point on the graph

What is the equation derived from the graph in slope-intercept form?

• y = -1/25x + 10

• y = 25x - 10

• y = -25x + 1

• y = 1/25x + 10

How much gasoline will Tala have left after driving 160 miles?

• 1 gallon

• 5 gallons

• 2 gallons

• 3 and a third gallons

What is the next topic to be covered in the following video?

• Writing equations from a graph

• Writing equations from just a table

• Finding the volume of a cube

• Calculating the area of a triangle